On Hypermomentum in General Relativity III. Coupling Hypermomentum to Geometry
Open Access
- 1 July 1976
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 31 (7) , 823-827
- https://doi.org/10.1515/zna-1976-0724
Abstract
In Part I1 of this series we presented the notion of the material hypermomentum current and motivated its introduction into general relativity. In Part II2 we showed that a general, linearly connected manifold with symmetric metric (L4, g) is the appropriate geometrical framework for such an introduction. The present paper completes the picture by giving dynamical definitions for energy-momentum and hypermomentum for a minimally coupled material Lagrangian. We derive and discuss the field equations of a new metricaffine gravitational theory which embodies these notions.Keywords
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